Martini Horst and Mustafaev Zokhrab: New inequalities for Holmes-Thompson and Busemann measures. In: Acta scientiarum mathematicarum 86. pp. 321-330. (2020)
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Abstract
Some sharp bounds for the inner radius and the outer radius of the unit ball of a (normed or) Minkowski space with respect to its isoperimetrix are known. To find more such bounds is a challenging problem. Related to this motivation, we derive new sharp inequalities between inner and outer radii for the Holmes–Thompson and Busemann measures. Cross-section measures as well as the Blaschke–Santaló inequality will be used to obtain these new inequalities.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2020 |
| Number: | 86 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 321-330 |
| Related URLs: | http://acta.bibl.u-szeged.hu/69543/ |
| DOI: | 10.14232/actasm-019-130-4 |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 329-330. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2020. Jul. 27. 11:16 |
| Last Modified: | 2020. Jul. 27. 11:16 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69375 |
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